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Finding the Fourth Proportional to 879.21, 1,214.37 and 659.13

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Solution

The fourth proportional to 879.21, 1,214.37 and 659.13 is: 910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.21 : 1,214.37 = 659.13 : x
  2. Step 2: Convert to fraction form
    879.21/1,214.37 = 659.13/x
  3. Step 3: Cross multiply
    879.21x = 1,214.37 × 659.13
  4. Step 4: Simplify right side
    879.21x = 800,427.70
  5. Step 5: Solve for x
    x = 800,427.70/879.21
  6. Step 6: Final answer
    x = 910.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.